Heat a large stock pot or soup pot on medium high heat. Once hot add the oil and continue to heat then slowly add the onions and peppers. Sauté the onions and peppers over medium high heat until slightly colored (approximately 5 minutes). Add the seasonings and stir well. Add the ground chicken and stir well, cooking chicken about 75% of the way (approximately 5 minutes). Add the beans, hominy, tomatoes, tomato sauce and BBQ sauce and mix well. Turn the heat up to high and bring to a boil, then turn down to simmer. Simmer covered for about 15 minutes, stirring at least once. Remove from the heat, stir well and serve with cornbread or tortilla chips. Top with sour cream and sharp cheddar cheese.